5(4z-1)-3(z+9)=2(z+1)

Solution for 5(4z-1)-3(z+9)=2(z+1) equation:

Simplifying
5(4z + -1) + -3(z + 9) = 2(z + 1)

Reorder the terms:
5(-1 + 4z) + -3(z + 9) = 2(z + 1)
(-1 * 5 + 4z * 5) + -3(z + 9) = 2(z + 1)
(-5 + 20z) + -3(z + 9) = 2(z + 1)

Reorder the terms:
-5 + 20z + -3(9 + z) = 2(z + 1)
-5 + 20z + (9 * -3 + z * -3) = 2(z + 1)
-5 + 20z + (-27 + -3z) = 2(z + 1)

Reorder the terms:
-5 + -27 + 20z + -3z = 2(z + 1)

Combine like terms: -5 + -27 = -32
-32 + 20z + -3z = 2(z + 1)

Combine like terms: 20z + -3z = 17z
-32 + 17z = 2(z + 1)

Reorder the terms:
-32 + 17z = 2(1 + z)
-32 + 17z = (1 * 2 + z * 2)
-32 + 17z = (2 + 2z)

Solving
-32 + 17z = 2 + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.
-32 + 17z + -2z = 2 + 2z + -2z

Combine like terms: 17z + -2z = 15z
-32 + 15z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-32 + 15z = 2 + 0
-32 + 15z = 2

Add '32' to each side of the equation.
-32 + 32 + 15z = 2 + 32

Combine like terms: -32 + 32 = 0
0 + 15z = 2 + 32
15z = 2 + 32

Combine like terms: 2 + 32 = 34
15z = 34

Divide each side by '15'.
z = 2.266666667

Simplifying
z = 2.266666667